The number 37742
37742 is a composite number with 8 divisors. Its prime factorisation is 2 × 113 × 167. Divisors (8): 1, 2, 113, 167, 226, 334, 18871, 37742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37742 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 37742 itself that is 19714, so 37742 is deficient (19714 is less than 37742). Euler's totient φ(37742) = 18592 numbers up to 37742 share no factor with it.
- 4
The digits of 37742 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37742 = 2 \times 113 \times 167 \]
37742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 18592 |
| Square | 1424458564 |
| Cube | 53761915122488 |
| Square root | 194.273004 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7742 × |
37742 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand seven hundred and forty-two |
| Binary (base 2) | 1001001101101110 |
| Octal (base 8) | 111556 |
| Hexadecimal (base 16) | 936E |
| Base 3 | 1220202212 |
| As time | 37742 seconds = 10 h 29 min 2 s |
Is 37742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37742 ÷ 2 = 18871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37742 a prime number?
No. 37742 = 2 × 113 × 167, so it is divisible by 2.
What are the factors of 37742?
1, 2, 113, 167, 226, 334, 18871, 37742.
What is 37742 in binary?
1001001101101110 (hexadecimal 936E, octal 111556).
What is the square root of 37742?
About 194.2730.
Is 37742 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37742?
It is a composite number with 8 divisors.